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Finding the Third Proportional to 2,829.52 and 6,034.78

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Solution

The third proportional to 2,829.52 and 6,034.78 is: 12,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.52 : 6,034.78 = 6,034.78 : x
  2. Step 2: Convert to fraction form
    2,829.52/6,034.78 = 6,034.78/x
  3. Step 3: Cross multiply
    2,829.52x = 6,034.78 × 6,034.78
  4. Step 4: Simplify right side
    2,829.52x = 36,418,584.74
  5. Step 5: Solve for x
    x = 36,418,584.74/2,829.52
  6. Step 6: Final answer
    x = 12,870.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.